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Finding the Third Proportional to 30,630.75 and 41,571

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Solution

The third proportional to 30,630.75 and 41,571 is: 56,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.75 : 41,571 = 41,571 : x
  2. Step 2: Convert to fraction form
    30,630.75/41,571 = 41,571/x
  3. Step 3: Cross multiply
    30,630.75x = 41,571 × 41,571
  4. Step 4: Simplify right side
    30,630.75x = 1,728,148,041
  5. Step 5: Solve for x
    x = 1,728,148,041/30,630.75
  6. Step 6: Final answer
    x = 56,418.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.